Name
Abstract | ||
|---|---|---|
Transfer theorems are central results in abstract algebraic logic that allow to generalize properties of the lattice of theories of a logic to any algebraic model and its lattice of filters. Their proofs sometimes require the existence of a natural extension of the logic to a bigger set of variables. Constructions of such extensions have been proposed in particular settings in the literature. In this paper we show that these constructions need not always work and propose a wider setting (including all finitary logics and those with countable language) in which they can still be used. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s11225-014-9594-8 | Studia Logica |
Keywords | Field | DocType |
Abstract algebraic logic,Consequence relations,Natural extensions,Transfer theorems | Algebraic sentence,Discrete mathematics,Algebra,Abstract model theory,Algebraic logic,Substructural logic,Classical logic,Abstract algebraic logic,Higher-order logic,Mathematics,Intermediate logic | Journal |
Volume | Issue | ISSN |
103 | 4 | 0039-3215 |
Citations | PageRank | References |
3 | 0.52 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petr Cintula | 1 | 601 | 50.37 |
| Carles Noguera | 2 | 462 | 33.93 |